Question

What is the point slop form of a line with slope 3 that contains the point (2,1)

Answer 1

Equation in point slope form is written as:

y = mx + c, where m is the slope of the line and c is the y-intercept

To determine the equation when slope is given and (x,y) coordinates are given, use the below formula:

(y - y₁) = m × (x - x₁) .................. (i)

We have been given that m = 3, x₁ = 2 and y₁ = 1)

Substituting the values of m, x₁ and y₁ in (i)

(y - 1) = 3 × (x-2)

⇒ y - 1 = 3x - 6

⇒ y = 3x - 5

So the required equation is y = 3x -5, here 3 is the slope and -5 is the y-intercept